Finding the Fourth Proportional to 9,978.69, 14,967.99 and 2,582.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,978.69 : 14,967.99 = 2,582.52 : x
2. Step 2: Convert to fraction form
   9,978.69/14,967.99 = 2,582.52/x
3. Step 3: Cross multiply
   9,978.69x = 14,967.99 × 2,582.52
4. Step 4: Simplify right side
   9,978.69x = 38,655,133.53
5. Step 5: Solve for x
   x = 38,655,133.53/9,978.69
6. Step 6: Final answer
   x = 3,873.77